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Finding the Third Proportional to 9,264,032 and 20,122,832

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Solution

The third proportional to 9,264,032 and 20,122,832 is: 43,709,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264,032 : 20,122,832 = 20,122,832 : x
  2. Step 2: Convert to fraction form
    9,264,032/20,122,832 = 20,122,832/x
  3. Step 3: Cross multiply
    9,264,032x = 20,122,832 × 20,122,832
  4. Step 4: Simplify right side
    9,264,032x = 404,928,367,700,224
  5. Step 5: Solve for x
    x = 404,928,367,700,224/9,264,032
  6. Step 6: Final answer
    x = 43,709,733.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.